← home · all curves · JSON ↓
curve #1491
y2 + xy = x3 − 3531474678706925407855636725500x + 2548317483638211729406118411284184511350250000
- a-invariants
[1, 0, 0, -3531474678706925407855636725500, 2548317483638211729406118411284184511350250000]
- rank (lower bound)
- ≥ 3
- torsion subgroup
- ℤ/12ℤ
- conductor (N)
13906060693760505270
- discriminant (Δ)
13321857419362678573964021530884473816081419741034275700706566021324971123408896000000000000
- Faltings height
- 16.3585
- naive height
- 222.6314
- primes of bad reduction
2, 3, 5, 7, 11, 13, 29, 47, 53, 127, 139, 173, 2099
- regulator
620.88972271170820987011785884838975056750020
- submitted by
- Michael Rubinstein
- submitted at
- last updated
(1128191793464920, 343676008705077502180)
(2507878946092152778360/2217121, 3291821431707000731684655232900/3301293169)
(6373869589832779000/529, 15906742017650602471721841500/12167)
Commentary
last edited by Michael Rubinstein at · history
Log in to edit commentary.